Home
Class 11
MATHS
[qquad f(x-1)=3(x-1)^(4)-5(x-1)^(2)+9=3x...

[qquad f(x-1)=3(x-1)^(4)-5(x-1)^(2)+9=3x^(4)-12x^(3)+13x^(2)-2x],[" EXAMPLE2"quad " If "f(x)=x+(1)/(x)," prove that "[f(x)]^(3)=f(x^(3))+3f((1)/(x))],[" SOLUTION We have,"],[qquad f(x)=x+(1)/(-)]

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=x+(1)/(x) , then prove that : {f(x)}^(3)=f(x^(3))+3*f((1)/(x))

If f(x)=x+(1)/(x) , then prove that : {f(x)}^(3)=f(x^(3))+3*f((1)/(x))

If f(x)=(1+x)/(1-x), show that: f(2x)=(3f(x)-1)/(3-f(x)) .

If f(x)=(3x+2)/(4x-3) show that f(x)=f^(-1)(x)

If f(x)=2x^(2)+3x-5 , then prove that f'(0)+3f'(-1)=0

If 2f(x-1)-f((1-x)/x)=x , then prove that 3f(x)=2(x+1)+1/(x+1) .

If f(x)= x^5+x^3-2x+3 ,Prove that f'(1)+f'(-1)=4f(0).

f(x)=4x^(3)-12x^(2)+14x-3,g(x)=2x-1

If f(x)= 2x^2+3x+5 , then prove that f'(0)+3f'(-1)=0

IF f(x) = ( x+2)/(3x-1) , then f(f(x)) is